Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


Relation between the Milnor's bar-mu-invariant and HOMFLYPT polynomial
by
Yuka Kotorii
Tokyo Institute of Technology
Coauthors: Akira Yasuhara

For an ordered, oriented link in the 3-sphere, J. Milnor defined a family of invariants, known as Milnor bar-mu-invariants. We show that any Milnor bar-mu-invariant of length between 4 and 2k + 2 can be represented as a combination of HOMFLYPT polynomial of knots obtained by certain band sum of the link components, if all Milnor invariants of length ≤ k vanish. In particular, for any 4-component link the Milnor bar-mu-invariants of length 4 can be represented as a combination of HOMFLYPT polynomial of knots. This is a joint work with Akira Yasuhara.

Date received: December 29, 2013

Copyright © 2013 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbid-18.